Q. 204 Simplify聽342582... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q. 204 (page 53)

Simplify $\frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}}$

Short Answer

Expert verified

On simplifying the given expression, we get

$\frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{36}{25}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Theexpressiongivenis \\ \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Simplify the numerator and denominator

$\begin{array}{l} 鈬� \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{(\frac{3^{2}}{4^{2}})}{(\frac{5^{2}}{8^{2}})} \\ 鈬� \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{(\frac{9}{16})}{(\frac{25}{64})} \end{array}$

Step 3. Simplify the fraction

$\begin{array}{l} 鈬� \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{(\frac{9}{16})}{(\frac{25}{64})} \\ 鈬� \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{9}{16} 脳 \frac{64}{25} \\ 鈬� \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{9}{16} 脳 \frac{16 脳 4}{25} \\ 鈬� \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{36}{25} \end{array}$

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91影视

Simplify $\frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the numerator and denominator

Step 3. Simplify the fraction

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91影视

Simplify342582

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the numerator and denominator

Step 3. Simplify the fraction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Simplify $\frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}}$